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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > For rational parameters with denominators 8 and fixed z and a<0 > For fixed z and a=-21/8, b>=a > For fixed z and a=-21/8, b=15/8





http://functions.wolfram.com/07.23.03.blm9.01









  


  








Input Form





Hypergeometric2F1[-(21/8), 15/8, 19/4, z] == (1/(125001 z^4)) (8 2^(3/4) (1 + Sqrt[1 - z])^(1/4) (-4 (-286 + 1261 z - 1742 z^2 - 325 z^3 + 614 z^4 - 370 z^5 + 80 z^6) + (-1144 + 5616 z - 9347 z^2 + 1625 z^3 + 11519 z^4 - 13789 z^5 + 6800 z^6 - 1280 z^7)/Sqrt[1 - z]))








Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02